Suppose P(n) is a property such that 1. P(0), P(1), P(2)

Chapter 5, Problem 5.191

(choose chapter or problem)

Suppose P(n) is a property such that 1. P(0), P(1), P(2) are all true, 2. for all integers k 0, if P(k) is true, then P(3k) is true. Must it follow that P(n) is true for all integers n 0? If yes, explain why; if no, give a counterexample.

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